Search a number
-
+
799869408 = 253131813541
BaseRepresentation
bin101111101011010…
…000100111100000
32001202002120112220
4233223100213200
53114231310113
6211211551040
725551530532
oct5753204740
92052076486
10799869408
113805617a8
121a3a5b480
13c9938610
1478333852
154a34d523
hex2fad09e0

799869408 has 96 divisors (see below), whose sum is σ = 2274304032. Its totient is φ = 244684800.

The previous prime is 799869403. The next prime is 799869437. The reversal of 799869408 is 804968997.

799869408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (799869403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224118 + ... + 227658.

It is an arithmetic number, because the mean of its divisors is an integer number (23690667).

Almost surely, 2799869408 is an apocalyptic number.

799869408 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 799869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137152016).

799869408 is an abundant number, since it is smaller than the sum of its proper divisors (1474434624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

799869408 is a wasteful number, since it uses less digits than its factorization.

799869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 799869408 is about 28281.9625910226. The cubic root of 799869408 is about 928.2672511097.

The spelling of 799869408 in words is "seven hundred ninety-nine million, eight hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 181 208 312 362 416 543 624 724 1086 1248 1448 2172 2353 2896 3541 4344 4706 5792 7059 7082 8688 9412 10623 14118 14164 17376 18824 21246 28236 28328 37648 42492 46033 56472 56656 75296 84984 92066 112944 113312 138099 169968 184132 225888 276198 339936 368264 552396 640921 736528 1104792 1281842 1473056 1922763 2209584 2563684 3845526 4419168 5127368 7691052 8331973 10254736 15382104 16663946 20509472 24995919 30764208 33327892 49991838 61528416 66655784 99983676 133311568 199967352 266623136 399934704 799869408